Real linear isometries between function algebras. II

被引：12

作者：

Hatori, Osamu ^{[1
]}

Miura, Takeshi ^{[1
,2
]}

机构：

[1] Niigata Univ, Dept Math, Fac Sci, Niigata 9502181, Japan

[2] Yamagata Univ, Grad Sch Sci & Engn, Dept Appl Math & Phys, Yonezawa, Yamagata 9928510, Japan

来源：

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2013年 / 11卷 / 10期

基金：

日本学术振兴会;

关键词：

Isometries; Algebra isomorphisms; Uniformly closed function algebras;

D O I：

10.2478/s11533-013-0282-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe the general form of isometries between uniformly closed function algebras on locally compact Hausdorff spaces in a continuation of the study by Miura. We can actually obtain the form on the Shilov boundary, rather than just on the Choquet boundary. We also give an example showing that the form cannot be extended to the whole maximal ideal space.

引用

页码：1838 / 1842

页数：5